Question

devin started the work shown to solve for the unknown angle measures. 1. $8x - 1 + 9x - 6 = 180$ 2. $17x - 7 = 180$ 3. $17x = 187$ what are the measures of angles q and r? $mangle q = square^circ$ $mangle r = square^circ$

Explanation:

Step1: Solve for \( x \) from \( 17x = 187 \)

To find \( x \), divide both sides of the equation \( 17x = 187 \) by 17. So, \( x=\frac{187}{17}=11 \).

Step2: Calculate \( m\angle Q \)

Substitute \( x = 11 \) into the expression for \( \angle Q \), which is \( (9x - 6)^\circ \).
\( 9(11)-6 = 99 - 6=93^\circ \).

Step3: Calculate \( m\angle R \)

Substitute \( x = 11 \) into the expression for \( \angle R \), which is \( (8x - 1)^\circ \).
\( 8(11)-1 = 88 - 1 = 87^\circ \).

Answer:

\( m\angle Q = 93^\circ \)
\( m\angle R = 87^\circ \)